(D^2+6D+13)y=0

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Solution for (D^2+6D+13)y=0 equation: 


Simplifying
(D2 + 6D + 13) * y = 0

Reorder the terms:
(13 + 6D + D2) * y = 0

Reorder the terms for easier multiplication:
y(13 + 6D + D2) = 0
(13 * y + 6D * y + D2 * y) = 0
(13y + 6yD + yD2) = 0

Solving
13y + 6yD + yD2 = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'y'.
y(13 + 6D + D2) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = 0

Subproblem 2
Set the factor '(13 + 6D + D2)' equal to zero and attempt to solve:

Simplifying
13 + 6D + D2 = 0

Solving
13 + 6D + D2 = 0

Move all terms containing y to the left, all other terms to the right.

Add '-13' to each side of the equation.
13 + 6D + -13 + D2 = 0 + -13

Reorder the terms:
13 + -13 + 6D + D2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 6D + D2 = 0 + -13
6D + D2 = 0 + -13

Combine like terms: 0 + -13 = -13
6D + D2 = -13

Add '-6D' to each side of the equation.
6D + -6D + D2 = -13 + -6D

Combine like terms: 6D + -6D = 0
0 + D2 = -13 + -6D
D2 = -13 + -6D

Add '-1D2' to each side of the equation.
D2 + -1D2 = -13 + -6D + -1D2

Combine like terms: D2 + -1D2 = 0
0 = -13 + -6D + -1D2

Simplifying
0 = -13 + -6D + -1D2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}

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